document.write( "Question 173898: When using point-form in algebra what do you do? y-y1=m(x-x1) \n" ); document.write( "
Algebra.Com's Answer #128789 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
The staring point would be
\n" ); document.write( "\"m+=+%28y+-+y%5B1%5D%29+%2F+%28x+-+x%5B1%5D%29\"
\n" ); document.write( "Where m = slope and (\"x%5B1%5D\",\"y%5B1%5D\") is a
\n" ); document.write( "known point on the line
\n" ); document.write( "Now if you multiply both sides by \"x+-+x%5B1%5D\", you get
\n" ); document.write( "\"y+-+y%5B1%5D+=+m%2A%28x+-+x%5B1%5D%29\"
\n" ); document.write( "At this point, if you're given \"m\" and
\n" ); document.write( "(\"x%5B1%5D\",\"y%5B1%5D\") you can just plug those values in
\n" ); document.write( "and put the equation in the form \"y+=+mx+%2B+b\".
\n" ); document.write( "If nothing more is given, though, you can still put this
\n" ); document.write( "in the form \"y+=+mx+%2B+b\"
\n" ); document.write( "\"y+-+y%5B1%5D+=+m%2A%28x+-+x%5B1%5D%29\"
\n" ); document.write( "\"y+=+m%2A%28x+-+x%5B1%5D%29+%2B+y%5B1%5D\"
\n" ); document.write( "\"y+=+mx+-+m%2Ax%5B1%5D+%2B+y%5B1%5D\" answer
\n" ); document.write( "The 2 terms together \"+-m%2Ax%5B1%5D+%2B+y%5B1%5D\" equal \"b\",
\n" ); document.write( "the y-intercept in \"y+=+mx+%2B+b\"
\n" ); document.write( "--------------------------------------
\n" ); document.write( "For an example, say \"m+=+2\" and \"x%5B1%5D+=+3\",\"y%5B1%5D+=+7\"
\n" ); document.write( "\"y+=+mx+-+m%2Ax%5B1%5D+%2B+y%5B1%5D\"
\n" ); document.write( "\"y+=+2x+-+2%2A3+%2B+7\"
\n" ); document.write( "\"y+=+2x+-+6+%2B+7\"
\n" ); document.write( "\"y+=+2x+%2B+1\"
\n" ); document.write( "\"b+=+1\"
\n" ); document.write( "-----------------
\n" ); document.write( "Now just plugging in the data into \"y+=+mx+%2B+b\", I get
\n" ); document.write( "\"7+=+2%2A3+%2B+b\"
\n" ); document.write( "\"b+=+7+-+6\"
\n" ); document.write( "\"b+=+1\"
\n" ); document.write( "OK
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